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Finding the Fourth Proportional to 618.48, 853.61 and 470.84

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Solution

The fourth proportional to 618.48, 853.61 and 470.84 is: 649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.48 : 853.61 = 470.84 : x
  2. Step 2: Convert to fraction form
    618.48/853.61 = 470.84/x
  3. Step 3: Cross multiply
    618.48x = 853.61 × 470.84
  4. Step 4: Simplify right side
    618.48x = 401,907.11
  5. Step 5: Solve for x
    x = 401,907.11/618.48
  6. Step 6: Final answer
    x = 649.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.